How to plot system of fractional delay differential equations

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RAMESH P
RAMESH P on 5 May 2019
Commented: ahlam inas on 21 Dec 2021
Let us consdier the system of fractional order delay differential equation
D^[alpha} x(t)= a*x(t) ( 1- x(t)/k ) - (b* x(t)* y(t-tau) ) / ( 1+c* x(t) );
D^[alpha} y(t)= ( b* x(t)* y(t-tau) ) / ( 1+c* x(t) )-d y(t);
tau=0.5; a=1; k=2; b=0.5; c=1.5; [x(t), y(t)]=[2,1] for all t in [-0.5, 0].
How to plot the above system?

Answers (2)

wang zhiming
wang zhiming on 11 Aug 2019
Edited: wang zhiming on 11 Aug 2019
I set a=1, k=2, b=0.5, c=1.5, d=1.2, and alpha=0.95, then get the following plot. Is it right?
  1 Comment
RAMESH P
RAMESH P on 19 Aug 2019
Your plot is correct. What is the value of ''alpha''. Could you give the mathlab code for the same. Thanking you sir.

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wang zhiming
wang zhiming on 19 Aug 2019
The alpha value is the order of your equations. About the matlab code you can read the paper: A PREDICTOR-CORRECTOR SCHEME FOR SOLVING NONLINEAR DELAY DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER. SACHIN BHALEKAR, VARSHA DAFTARDAR-GEJJI.
  1 Comment
RAMESH P
RAMESH P on 20 Aug 2019
I have read the article ''A PREDICTOR-CORRECTOR SCHEME FOR SOLVING NONLINEAR DELAY DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER''. I have some confusion on ploting the system of equation. Please send me the matlab code for the same. Otherwise give your mail id sir. I will explian my dobuts detailly via mail. My mail id is '' []@gmail.com''

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